Analytical Conditions for the Appearance of homoclinic and Heteroclinic Points of a 2-dimensional Mapping : The Case of the Henon Mapping
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概要
- 論文の詳細を見る
A method is proposed to obtain analytical conditions for the appearance of homoclinic and heteroclinic points of a class of 2-dimensional mappings with a small parameter. It consists of solving a functional equation, which is satisfied by invariant curves, perturbatively and combining the results with simple geometrical consideration. The mapping proposed by Henon is treated here, for which it is also found that the appearance of heteroclinic points results in the disappearance of a strange attractor. The results are in good agreement with those of numerical simulations.
- 理論物理学刊行会の論文
- 1980-04-25
著者
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DAIDO Hiroaki
Department of Physics, Kyoto University
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Daido Hiroaki
Department Of Mathematical Sciences Graduate School Of Engineering University Of Osaka Prefecture
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Daido Hiroaki
Research Institute For Fundamental Physics Kyoto University
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Daido Hiroaki
Department Of Physics Kyoto University
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